Details

Time bar (total: 5.7s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
33.3%25%50%0%0%25%0%3
60%37.5%25%0%0%37.5%0%4
77.8%43.7%12.5%0%0%43.7%0%5
88.2%46.9%6.2%0%0%46.9%0%6
93.9%48.4%3.1%0%0%48.4%0%7
96.9%49.2%1.6%0%0%49.2%0%8
98.4%49.6%0.8%0%0%49.6%0%9
99.2%49.8%0.4%0%0%49.8%0%10
99.6%49.9%0.2%0%0%49.9%0%11
99.8%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.1s (19.8%)

Results
465.0ms4944×body256valid
421.0ms2031×body1024valid
150.0ms1054×body512valid
58.0ms227×body2048valid
1.0ms8×body256invalid
Bogosity

preprocess18.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43211
54911
68611
712211
816811
920411
1023011
1123211
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify43.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21611
32311
43211
54911
68611
712211
816811
920411
1023011
1123211
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
30.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.6b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 x 1))
✓3.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series5.0ms (0.1%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))

rewrite70.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
794×pow1_binary64
742×log1p-expm1-u_binary64
742×expm1-log1p-u_binary64
741×add-log-exp_binary64
723×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115317
2211117
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))

simplify58.0ms (1%)

Algorithm
1×egg-herbie
Rules
871×fma-neg_binary64
758×times-frac_binary64
653×fma-def_binary64
394×div-sub_binary64
168×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0154967
1366879
21296779
35152763
Stop Event
1×node limit
Counts
63 → 98
Calls
Call 1
Inputs
1
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
1
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 x (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 1 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3/2)
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (-.f64 x 1)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(pow.f64 (+.f64 x 1) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))

eval56.0ms (1%)

Compiler

Compiled 1322 to 856 computations (35.2% saved)

prune18.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91798
Fresh000
Picked011
Done000
Total91899
Error
0.1b
Counts
99 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.0b
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
▶0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
▶31.2b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
✓30.6b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
30.6b
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
▶30.6b
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
▶30.6b
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
31.6b
1
Compiler

Compiled 176 to 138 computations (21.6% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 1 x))
✓0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

series8.0ms (0.1%)

Counts
3 → 6
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms
x
@inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms
x
@0
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms
x
@-inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
1.0ms
x
@inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite78.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
906×pow1_binary64
845×add-log-exp_binary64
845×log1p-expm1-u_binary64
845×expm1-log1p-u_binary64
824×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
117731
2244931
Stop Event
1×node limit
Counts
3 → 83
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))

simplify72.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
643×unswap-sqr_binary64
632×fma-neg_binary64
606×fma-def_binary64
280×associate-/r*_binary64
240×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01921582
14651376
215271178
375801178
Stop Event
1×node limit
Counts
89 → 125
Calls
Call 1
Inputs
1
1
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
1
1
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 0)
(/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 x (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (-.f64 (+.f64 x x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) -1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
0.0ms
x
@0
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
0.0ms
x
@inf
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))

rewrite94.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
931×pow1_binary64
870×log1p-expm1-u_binary64
870×expm1-log1p-u_binary64
869×add-log-exp_binary64
852×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117710
2237810
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (-.f64 1 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) 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(-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))))))

simplify51.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
593×fma-def_binary64
386×unsub-neg_binary64
299×distribute-rgt-in_binary64
286×sub-neg_binary64
262×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0125816
1337764
21240749
35731689
Stop Event
1×node limit
Counts
50 → 68
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(+.f64 (*.f64 1/2 x) (*.f64 (-.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1))
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(*.f64 1 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))))
(*.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (neg.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))
(pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))
(fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
Outputs
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 (-.f64 1 (sqrt.f64 x)) 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (fma.f64 1/2 x 1))
(-.f64 (fma.f64 1/2 x 1) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(+.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 1 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (sqrt.f64 (fma.f64 1/2 x 1))) (-.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 1/2 x 1) 3)) (-.f64 (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (neg.f64 (+.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (fma.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 x -1/2)) (pow.f64 (*.f64 1/2 x) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 x)) 3)) (fma.f64 (-.f64 1 (sqrt.f64 x)) (+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (-.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 x (sqrt.f64 x))) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (-.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (-.f64 1 (sqrt.f64 x)) (-.f64 1 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 1)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3) 1/3)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 3)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))) 2)
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 2))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log.f64 (exp.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x))) 3))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(exp.f64 (log.f64 (fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1/2 x (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 x 1/2 (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1 (*.f64 1/2 x) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1 (fma.f64 1/2 x 1) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (-.f64 1 (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))

localize95.0ms (1.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))
✓0.1b
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
✓13.3b
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
✓15.7b
(sqrt.f64 (*.f64 (+.f64 x 1) x))
Compiler

Compiled 74 to 52 computations (29.7% saved)

series11.0ms (0.2%)

Counts
4 → 38
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
2.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
1.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
1.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
1.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))

rewrite89.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
746×log-prod_binary64
498×fma-neg_binary64
264×log1p-udef_binary64
263×expm1-udef_binary64
222×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01373
131573
2491364
Stop Event
1×node limit
Counts
4 → 195
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 x 1) x))
(-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (cbrt.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (cbrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (cbrt.f64 (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) 3/2) (*.f64 (neg.f64 (pow.f64 x 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) 1 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 3/2))) x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))) (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2)) (/.f64 1 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4)) (-.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 x 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2)) (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 x 9/2))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 9/2) (pow.f64 (neg.f64 (pow.f64 x 3/2)) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3/2)) (neg.f64 (pow.f64 x 3/2))) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (neg.f64 (pow.f64 x 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simplify150.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
631×fma-neg_binary64
361×fma-def_binary64
242×times-frac_binary64
223×associate-*r*_binary64
216×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06386840
116726236
270816124
Stop Event
1×node limit
Counts
233 → 362
Calls
Call 1
Inputs
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/8 (/.f64 1 x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(-.f64 1 (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 3/2 x)) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))) (pow.f64 x 3/2))
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) (pow.f64 x 3/2))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x)))))
(*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3)) (+.f64 (+.f64 x (*.f64 x x)) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x (*.f64 x x))) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (hypot.f64 x (sqrt.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (*.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x (*.f64 x x)))) (neg.f64 (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x (hypot.f64 x (sqrt.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x (*.f64 x x)) (pow.f64 (+.f64 x (+.f64 x 1)) 2)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 1)
(pow.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x (+.f64 x 1)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1)))) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1)))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))) 1))
(fma.f64 1 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(fma.f64 1 (+.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x (+.f64 x 1))) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1))) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) (+.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x (hypot.f64 x (sqrt.f64 x))))
Outputs
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/2 (-.f64 x (/.f64 1/8 x)))
(+.f64 x (+.f64 1/2 (/.f64 -1/8 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 x (/.f64 1/16 (*.f64 x x)))) (/.f64 1/8 x))
(+.f64 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))) (/.f64 1/16 (*.f64 x x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))
x
(+.f64 1/2 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 x 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 1/2 (-.f64 x (/.f64 1/8 x)))
(+.f64 x (+.f64 1/2 (/.f64 -1/8 x)))
(+.f64 1/2 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
(-.f64 (+.f64 1/2 (+.f64 x (/.f64 1/16 (*.f64 x x)))) (/.f64 1/8 x))
(+.f64 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))) (/.f64 1/16 (*.f64 x x)))
(-.f64 1 (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 3/2 x)) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (*.f64 x 3/2)) (pow.f64 x 3/2))
(-.f64 (fma.f64 x 3/2 1) (pow.f64 x 3/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))) (pow.f64 x 3/2))
(+.f64 1 (-.f64 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)) (pow.f64 x 3/2)))
(+.f64 (fma.f64 x 3/2 (*.f64 x (*.f64 x 3/8))) (-.f64 1 (pow.f64 x 3/2)))
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))) (pow.f64 x 3/2))
(-.f64 (fma.f64 -1/16 (pow.f64 x 3) (+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)))) (pow.f64 x 3/2))
(+.f64 (fma.f64 -1/16 (pow.f64 x 3) 1) (-.f64 (fma.f64 x 3/2 (*.f64 x (*.f64 x 3/8))) (pow.f64 x 3/2)))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 3/2 (sqrt.f64 x)))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 x)))
(fma.f64 3/2 (sqrt.f64 x) (*.f64 3/8 (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (sqrt.f64 x)))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 3/128 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (sqrt.f64 x)))))
(*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(/.f64 3/2 (/.f64 x (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(/.f64 3/2 (/.f64 x (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 3/8 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(fma.f64 3/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (/.f64 3/8 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))))
(+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 3/8 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (pow.f64 x 3)) (fma.f64 3/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (/.f64 3/8 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))))))
(+.f64 (*.f64 3/128 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(fma.f64 3/128 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 4)) (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))))
(fma.f64 3/128 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 3/8 (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(fma.f64 3/128 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (pow.f64 x 4)) (fma.f64 -1/16 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (pow.f64 x 3)) (fma.f64 3/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) x) (/.f64 3/8 (/.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)))))))
(-.f64 1 (pow.f64 x 3/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/4)))
(-.f64 (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 4)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (*.f64 -1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 (pow.f64 x 4) -1/8)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/4))
(+.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 (pow.f64 x 4) -1/8)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/4)))
(-.f64 (+.f64 (*.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 4))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1/24 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (+.f64 (*.f64 1/96 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (*.f64 1/4 (sqrt.f64 (pow.f64 x 3)))) (pow.f64 x 5))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(-.f64 (fma.f64 1/128 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 4)) (*.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 -1/24 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 5)) (fma.f64 1/96 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) -1/8) (pow.f64 x 5)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) 1/4)))))
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1
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(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 x (-.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 x (-.f64 (-.f64 1 (hypot.f64 x (sqrt.f64 x))) x)))
(/.f64 (-.f64 (+.f64 x (*.f64 x x)) (pow.f64 (+.f64 x (+.f64 x 1)) 2)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x (*.f64 x x)))) (neg.f64 (+.f64 x (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x (+.f64 x 1)) 2)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))))
(pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 1)
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 3)
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))) 2)
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1))) 2))
(fabs.f64 (+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1))))
(log.f64 (exp.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x (+.f64 x 1)))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (exp.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1)))) (exp.f64 (hypot.f64 x (sqrt.f64 x)))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (exp.f64 (+.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x 1)))) (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 x))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (exp.f64 (+.f64 x 1))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (hypot.f64 x (sqrt.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))) 3))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))) 1))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(fma.f64 1 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 1 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 1 (+.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x (+.f64 x 1))) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1))) (hypot.f64 x (sqrt.f64 x)))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x (+.f64 x 1)))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) (+.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)) (+.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓2.5b
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
3.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 36 to 23 computations (36.1% saved)

series6.0ms (0.1%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@-inf
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@inf
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@inf
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
0.0ms
x
@-inf
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))

rewrite62.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
869×pow1_binary64
810×log1p-expm1-u_binary64
810×expm1-log1p-u_binary64
809×add-log-exp_binary64
789×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
117724
2230824
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 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((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 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(neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (exp.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))))

simplify62.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
891×fma-neg_binary64
703×fma-def_binary64
360×unswap-sqr_binary64
199×distribute-rgt-in_binary64
196×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531143
13641057
21420925
36409925
Stop Event
1×node limit
Counts
67 → 84
Calls
Call 1
Inputs
1
(exp.f64 1)
1
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (+.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(*.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (exp.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(pow.f64 (E.f64) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
Outputs
1
(exp.f64 1)
(E.f64)
1
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 (-.f64 -1 x) x) (hypot.f64 x (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 (-.f64 -1 x) x) (hypot.f64 x (sqrt.f64 x))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 (-.f64 -1 x) x) (hypot.f64 x (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 (-.f64 -1 x) x) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (-.f64 (-.f64 -1 x) x) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 1 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (+.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (neg.f64 (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (exp.f64 (sqrt.f64 x)) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (exp.f64 (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (E.f64) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) 1/3)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2)
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.1b
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
✓0.1b
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
3.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series9.0ms (0.2%)

Counts
2 → 2
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
2.0ms
x
@-inf
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
1.0ms
x
@0
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
0.0ms
x
@inf
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))

rewrite57.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
961×pow1_binary64
905×add-log-exp_binary64
905×log1p-expm1-u_binary64
905×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
122025
2260325
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 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x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))))))

simplify91.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
585×fma-neg_binary64
489×fma-def_binary64
441×unswap-sqr_binary64
326×exp-prod_binary64
242×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01701338
14151252
215951153
361841150
Stop Event
1×node limit
Counts
73 → 102
Calls
Call 1
Inputs
1
1
(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(+.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (neg.f64 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) 3))
(/.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
Outputs
1
1
(+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(+.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (+.f64 x 1))) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))) 1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) 3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 3) (pow.f64 (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) 3))
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3)
(/.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(/.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(/.f64 (pow.f64 (+.f64 1 (-.f64 x x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 (+.f64 x (-.f64 1 x)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 6))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(log.f64 (exp.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 3))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))) (/.f64 (pow.f64 x 3/2) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3/2) 1/3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 (+.f64 x (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 x (sqrt.f64 x))) (+.f64 1 (fma.f64 x 2 (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x 1) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

eval542.0ms (9.6%)

Compiler

Compiled 22673 to 15872 computations (30% saved)

prune210.0ms (3.7%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New92611937
Fresh112
Picked101
Done145
Total92916945
Error
0.0b
Counts
945 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
45.7b
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (*.f64 3/8 (sqrt.f64 (/.f64 1 x)))) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
✓31.0b
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
▶45.9b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
▶0.3b
(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
▶30.4b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
✓0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
9.7b
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
✓31.2b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
30.6b
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
✓30.6b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
31.2b
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
▶31.2b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
29.8b
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
▶60.9b
(*.f64 1/2 x)
31.6b
1
Compiler

Compiled 314 to 248 computations (21% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓0.1b
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓0.1b
(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
✓0.3b
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
Compiler

Compiled 50 to 34 computations (32% saved)

series11.0ms (0.2%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
2.0ms
x
@inf
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
1.0ms
x
@-inf
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms
x
@0
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)

rewrite65.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
440×fma-def_binary64
422×log-prod_binary64
307×exp-prod_binary64
307×pow-prod-down_binary64
249×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
124638
2289738
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 5/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) x) 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simplify67.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
614×times-frac_binary64
355×fma-def_binary64
347×distribute-rgt-in_binary64
297×distribute-lft-in_binary64
227×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03304294970068
17602758
219322457
Stop Event
1×node limit
Counts
154 → 180
Calls
Call 1
Inputs
1
1
1
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/4))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 5/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 x))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 0 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/2) -2/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) -1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6) -6)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4) -4)
(pow.f64 (exp.f64 -2) (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -2))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 1) -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2) -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(+.f64 0 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))) 1)
(*.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 1)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)) (sqrt.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4) 2)
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))) 2)) (cbrt.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))) (sqrt.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))
(fabs.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(log.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/2))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))
(expm1.f64 (log1p.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(log1p.f64 (expm1.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(exp.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) 1/2))
Outputs
1
1
1
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
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(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
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(pow.f64 (exp.f64 -2) (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -2))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3)) 1/3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 1) -2))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2) -2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) -2) 1))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 0 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))) 1)
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(*.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 1)
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)) (sqrt.f64 (-.f64 (+.f64 (+.f64 1 x) x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)) (sqrt.f64 (-.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)) (sqrt.f64 (+.f64 x (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x (*.f64 x x))))))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 x 3/4)) (sqrt.f64 (-.f64 (fma.f64 2 x 1) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 1)
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/2)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (E.f64) (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/2) 1/3)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1/4)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6) 3)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3/2)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/4) 2)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))) 2)) (cbrt.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))) (sqrt.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))
(fabs.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(log.f64 (exp.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3/2))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4))
(expm1.f64 (log1p.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(log1p.f64 (expm1.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(exp.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 1))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6)) 3))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 1) 1))
(hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2) 1))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) 1/2))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1/6))
(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
✓0.0b
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
Compiler

Compiled 23 to 14 computations (39.1% saved)

series2.0ms (0%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
0.0ms
x
@inf
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
0.0ms
x
@-inf
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
0.0ms
x
@-inf
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
0.0ms
x
@0
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))

rewrite74.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
926×pow1_binary64
865×add-log-exp_binary64
864×log1p-expm1-u_binary64
864×expm1-log1p-u_binary64
848×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117621
2235821
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (fma.f64 1/2 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (pow.f64 x 3/2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) (+.f64 x (*.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) x) (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) 1) (-.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)))))

simplify76.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
444×fma-neg_binary64
352×unswap-sqr_binary64
347×times-frac_binary64
337×distribute-rgt-in_binary64
293×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731328
14591230
217721182
Stop Event
1×node limit
Counts
76 → 98
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x))
(*.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(*.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))
(fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))
(fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(-.f64 (+.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 1)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))
(*.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(*.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (pow.f64 x 3/2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) (+.f64 x (*.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) x) (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) 1) (-.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))
(pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)
(pow.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(fma.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)
Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (*.f64 1/2 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (neg.f64 (cbrt.f64 x))))
(+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))
(+.f64 (*.f64 1/2 x) (neg.f64 (pow.f64 x 1/2)))
(+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 x 1/4) (sqrt.f64 (*.f64 1/2 x))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 1 (/.f64 (fma.f64 1/2 x (sqrt.f64 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x) (fma.f64 1/2 x (sqrt.f64 x)))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (+.f64 x (*.f64 1/2 (pow.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3/2)) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (neg.f64 (pow.f64 x 3/2))) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/2 (pow.f64 x 3/2) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) x)) (neg.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (fma.f64 1/4 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (neg.f64 (sqrt.f64 x)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (sqrt.f64 x) (neg.f64 x))) (+.f64 (fma.f64 1/4 (*.f64 x x) x) (*.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 x (sqrt.f64 x))) (+.f64 x (*.f64 x (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 x 1/4)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x))))
(*.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (/.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)) (fma.f64 1/2 x (sqrt.f64 x)))
(pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 3)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(pow.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3) 1/3)
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(log.f64 (exp.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(exp.f64 (log.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 1/2 x (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 x 1/2 (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 1 (*.f64 1/2 x) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 1/2 x) (sqrt.f64 x))
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(-.f64 (+.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))) (/.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(*.f64 1 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (*.f64 1/2 x)) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (*.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (pow.f64 x 3/2)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) (+.f64 x (*.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (fma.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1) (+.f64 x (*.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (fma.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1) (fma.f64 (sqrt.f64 x) (fma.f64 1/2 x 1) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (*.f64 (fma.f64 1/2 x 1) (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/2 x) 1)) x) (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (fma.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1) (neg.f64 x)) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (-.f64 (*.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1)) x) (+.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(/.f64 (-.f64 (*.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1)) x) (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) 1) (-.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2)) (+.f64 1 (+.f64 (sqrt.f64 x) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 2) -1) (-.f64 (fma.f64 1/2 x -1) (sqrt.f64 x)))
(pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)) 3)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))) 2)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 2))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log.f64 (exp.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1) 3))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)))
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))))
(fma.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
✓0.0b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

series21.0ms (0.4%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
18.0ms
x
@inf
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
1.0ms
x
@-inf
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
1.0ms
x
@0
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
0.0ms
x
@-inf
(+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
0.0ms
x
@inf
(+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))

rewrite62.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
444×fma-def_binary64
419×log-prod_binary64
379×prod-exp_binary64
318×exp-prod_binary64
290×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120223
2273323
Stop Event
1×node limit
Counts
2 → 145
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -2) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 1/3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1)))))))
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simplify83.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
592×fma-def_binary64
388×distribute-rgt-in_binary64
363×unswap-sqr_binary64
354×distribute-lft-in_binary64
304×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03162313
17982194
221772175
Stop Event
1×node limit
Counts
151 → 205
Calls
Call 1
Inputs
1
(/.f64 2 x)
(/.f64 2 x)
1
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 0 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -2) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) 2)
(pow.f64 (exp.f64 -1) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))) (sqrt.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(exp.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 1/3))
(exp.f64 (*.f64 (neg.f64 (*.f64 1/3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1) 1))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))) (/.f64 x (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(*.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(*.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (/.f64 1 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)))
(/.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2))
(/.f64 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -1)
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2)) (+.f64 x (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) (neg.f64 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 x)) 3)) (fma.f64 1/4 (*.f64 x x) (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 x)) 2) (*.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (sqrt.f64 x)) 2)) (-.f64 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 x (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 (sqrt.f64 x) (fma.f64 1/2 x 1)))
(pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 1)
(pow.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) -1)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -3) -1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) -3)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) -2)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x) (*.f64 (fma.f64 1/2 x 1) (sqrt.f64 x))) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 1/2 x 1) (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))) (sqrt.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (+.f64 1 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1))) (exp.f64 (sqrt.f64 x))))
(log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x 1)) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (exp.f64 (fma.f64 1/2 x 1))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x 1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) 1) 1))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x))) -1)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 1/2 x (sqrt.f64 x)))) 1)))
(fma.f64 1 (*.f64 1/2 x) (+.f64 1 (sqrt.f64 x)))
(fma.f64 1 (*.f64 1/2 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 1 (fma.f64 1/2 x 1) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (fma.f64 1/2 x 1))
(fma.f64 1 (+.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(fma.f64 1/2 x (+.f64 1 (sqrt.f64 x)))
(fma.f64 1/2 x (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 x 1/2 (+.f64 1 (sqrt.f64 x)))
(fma.f64 x 1/2 (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (*.f64 1/2 x) 1 (+.f64 1 (sqrt.f64 x)))
(fma.f64 (*.f64 1/2 x) 1 (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (fma.f64 1/2 x 1) 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) 1 (fma.f64 1/2 x 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) 1) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) 1) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (fma.f64 1/2 x 1))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (/.f64 1 (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 1/2 x))) (sqrt.f64 x))
(fma.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 1/2 x -1)) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 x))
(fma.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)) (*.f64 1/2 x))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (sqrt.f64 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
Outputs
1
(/.f64 2 x)
(/.f64 2 x)
1
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 0 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))) 1)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 1 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))) 1)
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) -2)) (cbrt.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))) -2)) (cbrt.f64 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2) (pow.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))) -1/2))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))))
(/.f64 1 (+.f64 1 (fma.f64 1/2 x (sqrt.f64 x))))
(/.f64 1 (+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) 1) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (sqrt.f64 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (cbrt.f64 x) (pow.f64 x 1/6) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 1/2 x 1))
(fma.f64 (pow.f64 x 1/6) (cbrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) 1) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) 1) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (fma.f64 1/2 x 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (/.f64 1 (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 1/2 x))) (sqrt.f64 x))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (/.f64 1 (+.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 -1/2 x))) (sqrt.f64 x))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (/.f64 1 (+.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 x -1/2))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (fma.f64 x -1/2 (fma.f64 1/4 (*.f64 x x) 1))))
(fma.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 1/2 x -1)) (sqrt.f64 x))
(fma.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 x 1/2 -1)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 x 1/2 -1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 x))) (*.f64 1/2 x))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)) (*.f64 1/2 x))
(fma.f64 (hypot.f64 1 (pow.f64 x 1/4)) (hypot.f64 1 (pow.f64 x 1/4)) (*.f64 x 1/2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 1 (sqrt.f64 x)))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (+.f64 1 (sqrt.f64 x)) 1))
(+.f64 1 (fma.f64 1/2 x (sqrt.f64 x)))
(+.f64 1 (fma.f64 x 1/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x)))
✓0.2b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
✓0.3b
(*.f64 3/2 (sqrt.f64 x))
15.7b
(sqrt.f64 (*.f64 (+.f64 x 1) x))
Compiler

Compiled 58 to 37 computations (36.2% saved)

series28.0ms (0.5%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
24.0ms
x
@-inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
2.0ms
x
@0
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
1.0ms
x
@inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
1.0ms
x
@-inf
(*.f64 3/2 (sqrt.f64 x))
1.0ms
x
@0
(*.f64 3/2 (sqrt.f64 x))

rewrite60.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
829×fma-def_binary64
670×log-prod_binary64
385×fma-neg_binary64
232×log1p-udef_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01232
127332
2406229
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(*.f64 3/2 (sqrt.f64 x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/2 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) 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(sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 3/2 (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) (pow.f64 (+.f64 x (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (fma.f64 x x x))) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (*.f64 3/2 (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))))))

simplify49.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
634×fma-def_binary64
579×associate-*l/_binary64
551×times-frac_binary64
442×associate-*r/_binary64
300×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731598
14291554
217641393
Stop Event
1×node limit
Counts
64 → 100
Calls
Call 1
Inputs
(+.f64 0 (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x)))) 1)
(pow.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 2)
(sqrt.f64 (*.f64 x 9/4))
(log.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 3/2 (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) 1))
(+.f64 0 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))) 1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 3/2 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 1 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (*.f64 3/2 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 3/2 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 3/2 (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) (pow.f64 (+.f64 x (+.f64 x 1)) 2)))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (fma.f64 x x x))) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)
(pow.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 3)
(pow.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (*.f64 3/2 (sqrt.f64 x))) -1)
(neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)))
(log.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))
(cbrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(log1p.f64 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(exp.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))
Outputs
(+.f64 0 (*.f64 3/2 (sqrt.f64 x)))
(*.f64 3/2 (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))))
(*.f64 3/2 (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x)))) 1)
(*.f64 3/2 (sqrt.f64 x))
(pow.f64 (*.f64 3/2 (sqrt.f64 x)) 1)
(*.f64 3/2 (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) 1/3)
(*.f64 3/2 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) 3)
(*.f64 3/2 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 2)
(*.f64 3/2 (sqrt.f64 x))
(sqrt.f64 (*.f64 x 9/4))
(log.f64 (pow.f64 (exp.f64 3/2) (sqrt.f64 x)))
(*.f64 3/2 (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (sqrt.f64 x)))))
(*.f64 3/2 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3))
(*.f64 3/2 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 3/2 (sqrt.f64 x))))
(*.f64 3/2 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 3/2 (sqrt.f64 x))))
(*.f64 3/2 (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))))
(*.f64 3/2 (sqrt.f64 x))
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(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))) 2))) (/.f64 3/2 (cbrt.f64 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 3/2 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3/2))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) (pow.f64 (+.f64 x (+.f64 x 1)) 2)))
(*.f64 (/.f64 3/2 (/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3/2)) (sqrt.f64 x))) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) (pow.f64 (+.f64 x (+.f64 x 1)) 2)))
(/.f64 (*.f64 (*.f64 3/2 (sqrt.f64 x)) (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x (+.f64 x 1))) (pow.f64 (+.f64 x (+.f64 x 1)) 2))) (+.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (fma.f64 x x x) 3/2)))
(*.f64 (/.f64 (*.f64 3/2 (fma.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (fma.f64 2 x 1)) (pow.f64 (fma.f64 2 x 1) 2))) (+.f64 (pow.f64 (fma.f64 2 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (fma.f64 x x x))) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (fma.f64 x x x))) (+.f64 x (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (fma.f64 x x x)) (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (fma.f64 2 x 1) 2) (fma.f64 x x x)) (-.f64 (fma.f64 2 x 1) (hypot.f64 x (sqrt.f64 x)))))
(pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(pow.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3) 1/3)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 3)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(pow.f64 (sqrt.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))) 2)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(pow.f64 (/.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) (*.f64 3/2 (sqrt.f64 x))) -1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 2)))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) 2)))
(sqrt.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))) 2)) 9/4))
(sqrt.f64 (/.f64 9/4 (/.f64 (pow.f64 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))) 2) x)))
(log.f64 (exp.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 3))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x)))) 3)))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(expm1.f64 (log1p.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 x (+.f64 1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 1 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x))))
(*.f64 (sqrt.f64 x) (/.f64 3/2 (+.f64 1 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (exp.f64 (log1p.f64 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 3/2 (/.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (exp.f64 (log1p.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 x))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 3/2 (sqrt.f64 x))) (log1p.f64 (+.f64 x (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) 1))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (exp.f64 (log1p.f64 (+.f64 (+.f64 x x) (hypot.f64 x (sqrt.f64 x))))))
(/.f64 3/2 (/.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x x)))) (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (exp.f64 (log1p.f64 (fma.f64 2 x (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 x))

eval319.0ms (5.6%)

Compiler

Compiled 14414 to 9398 computations (34.8% saved)

prune155.0ms (2.7%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New7688776
Fresh437
Picked101
Done178
Total77418792
Error
0b
Counts
792 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.0b
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
30.0b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (fma.f64 x 3 3/2))
▶30.0b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
30.0b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 3/2))
▶30.0b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))
▶60.1b
(/.f64 2 x)
✓30.4b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
✓0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓31.2b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
▶30.6b
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
31.2b
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
✓30.6b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓31.2b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
30.0b
(*.f64 (/.f64 3/2 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 x))
30.0b
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
▶29.8b
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
✓60.9b
(*.f64 1/2 x)
31.6b
1
Compiler

Compiled 290 to 217 computations (25.2% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (/.f64 1 x))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(sqrt.f64 (/.f64 1 x))
0.0ms
x
@0
(sqrt.f64 (/.f64 1 x))
0.0ms
x
@inf
(sqrt.f64 (/.f64 1 x))

rewrite45.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
399×pow1_binary64
386×add-sqr-sqrt_binary64
376×*-un-lft-identity_binary64
371×add-log-exp_binary64
371×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056
1994
211014
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (neg.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) 1/2) (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 1/2) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 x -1/2))) 1/3) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))) 2) 3) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))))

simplify46.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
510×fma-def_binary64
463×associate-/l*_binary64
422×fma-neg_binary64
329×*-commutative_binary64
307×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0119389
1267360
2661349
32409338
46900338
Stop Event
1×node limit
Counts
46 → 69
Calls
Call 1
Inputs
(+.f64 0 (pow.f64 x -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (pow.f64 x -1/2) (pow.f64 1 1/2))
(*.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 1/3))
(*.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (neg.f64 x)) 1/2))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 1 1/3) (pow.f64 x -1/2))
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) 1/2) (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 1/2) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 x -1/2))) 1/3) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))) 2) 3) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 x)) -1))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (sqrt.f64 x) 1))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (pow.f64 (/.f64 1 x) 3/2) 1/3)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (/.f64 (sqrt.f64 x) 1) -1)
(fabs.f64 (pow.f64 x -1/2))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 x)))
Outputs
(+.f64 0 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))
(pow.f64 x -1/2)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) (pow.f64 1 1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))
(pow.f64 x -1/2)
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))))
(*.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (neg.f64 x)) 1/2))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))
(pow.f64 x -1/2)
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 1 1/3) (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(/.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) 1/2) (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 1/2) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) 3/4)) (cbrt.f64 (pow.f64 (/.f64 1 x) 3/4)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 1 x) 3/4) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) x)) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 x -1/2))) 1/3) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (/.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (/.f64 (sqrt.f64 (pow.f64 x -1/2)) x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))) (cbrt.f64 (/.f64 (pow.f64 x -1/4) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/4) x)) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))) 2) 3) (cbrt.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (sqrt.f64 (cbrt.f64 x))))
(/.f64 (*.f64 1 (/.f64 1 (sqrt.f64 (cbrt.f64 x)))) (fabs.f64 (cbrt.f64 x)))
(/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(/.f64 1 (pow.f64 (cbrt.f64 x) 3/2))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (sqrt.f64 x) 1))
(/.f64 1 (sqrt.f64 x))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(pow.f64 x -1/2)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 (/.f64 1 x) 3/2) 1/3)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(/.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 x -1/2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 x -1/2)
(pow.f64 (/.f64 (sqrt.f64 x) 1) -1)
(/.f64 1 (sqrt.f64 x))
(fabs.f64 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 (/.f64 1 x) 3/2))
(pow.f64 x -1/2)
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 x)))
(pow.f64 x -1/2)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 3/2 (sqrt.f64 x))
✓0.4b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))
1.0ms
x
@-inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))
0.0ms
x
@inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))

rewrite46.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
938×pow1_binary64
884×add-log-exp_binary64
884×log1p-expm1-u_binary64
884×expm1-log1p-u_binary64
85×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11749
223409
Stop Event
1×node limit
Counts
1 → 53
Calls
Call 1
Inputs
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (sqrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 1 (*.f64 3 (/.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 9/4)) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 1/3) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (*.f64 x 9/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) x) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) x) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 3) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (*.f64 x 3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 1) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 3/2 (cbrt.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 (*.f64 x 9/4)) (cbrt.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (cbrt.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (sqrt.f64 (*.f64 x 3))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3))) (/.f64 3/2 (sqrt.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x 3))) (/.f64 (sqrt.f64 (*.f64 x 9/4)) (sqrt.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (*.f64 x 3))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (sqrt.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x 9/4)) 3) (pow.f64 (*.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))))))

simplify43.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
428×distribute-rgt-in_binary64
346×associate-/l*_binary64
337×associate-*l/_binary64
311×log-prod_binary64
298×log-div_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0136613
1346613
21048613
34557610
Stop Event
1×node limit
Counts
53 → 63
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))) 1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (*.f64 x 3)))
(*.f64 3/2 (/.f64 1 (*.f64 3 (/.f64 x (sqrt.f64 x)))))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1/3 x)))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1/3 x)))
(*.f64 (sqrt.f64 (*.f64 x 9/4)) (/.f64 1/3 x))
(*.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 1)
(*.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (/.f64 1/3 x)))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (/.f64 1/3 x)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (*.f64 x -3)))
(*.f64 (/.f64 3/2 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 (*.f64 (sqrt.f64 x) 1/3) (/.f64 3/2 x))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x) 1/3)
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 (sqrt.f64 x) x) 1/2)
(*.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (*.f64 x 9/4)) 3))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) x) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) x) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 3) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (*.f64 x 3)))
(*.f64 (/.f64 3/2 (*.f64 x 3)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 1) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(*.f64 (/.f64 3/2 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 3/2 (cbrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 (*.f64 x 9/4)) (cbrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (cbrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 3/2 (sqrt.f64 (*.f64 x 3))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3))) (/.f64 3/2 (sqrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 3))) (/.f64 (sqrt.f64 (*.f64 x 9/4)) (sqrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (*.f64 x 3))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (sqrt.f64 (*.f64 x 3))))
(pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 1)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2)
(pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 x))) -1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) (*.f64 x -3)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 2))
(log.f64 (exp.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x 9/4)) 3) (pow.f64 (*.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))) 1)
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (*.f64 x 3)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 3/2 (/.f64 1 (*.f64 3 (/.f64 x (sqrt.f64 x)))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1/3 x)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1/3 x)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (sqrt.f64 (*.f64 x 9/4)) (/.f64 1/3 x))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 1)
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (/.f64 1/3 x)))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (/.f64 1/3 x) (*.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (/.f64 1/3 x)))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (*.f64 x -3)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 3/2 x) (*.f64 (sqrt.f64 x) 1/3))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (*.f64 (sqrt.f64 x) 1/3) (/.f64 3/2 x))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x) 1/3)
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 (/.f64 (sqrt.f64 x) x) 1/2)
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (*.f64 x 9/4)) 3))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) x) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (/.f64 1/3 x) (*.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) x) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 3) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) x))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 3) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) x))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (/.f64 1/3 x) (*.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (*.f64 x 3)))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 3/2 (*.f64 x 3)) (sqrt.f64 x))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (/.f64 1/3 x) (*.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) 1) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 3/2 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 3/2 (cbrt.f64 (*.f64 x 3))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 (*.f64 x 9/4)) (cbrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) (/.f64 (cbrt.f64 (*.f64 x 9/4)) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)))
(/.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 x))) (cbrt.f64 (*.f64 x 9/4))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 9/4))) (cbrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 3/2 (sqrt.f64 (*.f64 x 3))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3))) (/.f64 3/2 (sqrt.f64 (*.f64 x 3))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 3))) (/.f64 (sqrt.f64 (*.f64 x 9/4)) (sqrt.f64 (*.f64 x 3))))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (*.f64 x 3))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (sqrt.f64 (*.f64 x 3))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (/.f64 1/3 x) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (/.f64 1/3 x) (*.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (sqrt.f64 (*.f64 x 9/4)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 9/4))) (*.f64 x 3)))
(pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 1)
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 3) 1/3)
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 3)
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))) 2)
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(pow.f64 (*.f64 2 (/.f64 x (sqrt.f64 x))) -1)
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) (*.f64 x -3)))
(*.f64 (/.f64 1/3 x) (sqrt.f64 (*.f64 x 9/4)))
(*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 2))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(log.f64 (exp.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x)) 3))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x 9/4)) 3) (pow.f64 (*.f64 x 3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x 9/4)) 3) (*.f64 (pow.f64 x 3) 27)))
(cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) (pow.f64 x 3)) (/.f64 x 12)))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (sqrt.f64 x) x))))
(*.f64 1/2 (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 1/2 x))

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 x 1) x)
✓0.0b
(+.f64 (+.f64 (+.f64 x 1) x) x)
✓0.2b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
0.3b
(*.f64 3/2 (sqrt.f64 x))
Compiler

Compiled 37 to 22 computations (40.5% saved)

series5.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
1.0ms
x
@0
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
1.0ms
x
@inf
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
0.0ms
x
@inf
(+.f64 (+.f64 (+.f64 x 1) x) x)
0.0ms
x
@0
(+.f64 (+.f64 (+.f64 x 1) x) x)

rewrite68.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
580×fma-def_binary64
565×log-prod_binary64
303×pow2_binary64
286×fma-neg_binary64
209×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01035
123335
2349329
Stop Event
1×node limit
Counts
3 → 200
Calls
Call 1
Inputs
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
(+.f64 (+.f64 (+.f64 x 1) x) x)
(+.f64 (+.f64 x 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 x 2 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 1 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (fma.f64 x 2 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 (+.f64 x 1))) (*.f64 3/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))))) (#(struct:change 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(/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 3/2 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) -1/2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))) (-.f64 (fma.f64 x 2 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2/3 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))))))

simplify73.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
645×unswap-sqr_binary64
296×cancel-sign-sub-inv_binary64
227×fma-neg_binary64
208×log-prod_binary64
173×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04152823
110062433
234732403
Stop Event
1×node limit
Counts
224 → 262
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) 1)
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 0 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 1)
(*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 3/2 (/.f64 1 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 1 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 1 (fma.f64 x 2 (+.f64 x 1))) (*.f64 3/2 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))) -2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 3/2 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) -1/2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))) (-.f64 (fma.f64 x 2 1) x))
(pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)
(pow.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 2)
(pow.f64 (*.f64 2/3 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 2/3 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))) 1) -1)
(neg.f64 (/.f64 (*.f64 3/2 (sqrt.f64 x)) (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))
(sqrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3/2 (sqrt.f64 x)) 3) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (+.f64 x 1)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 2) (-.f64 (fma.f64 x 2 1) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x 2 1) x)))
(*.f64 1 (fma.f64 x 2 (+.f64 x 1)))
(*.f64 (fma.f64 x 2 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x)) (/.f64 1 (-.f64 (fma.f64 x 2 1) x)))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x 2 1) x) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x (fma.f64 x 2 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x)) (-.f64 (fma.f64 x 2 1) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 x 2 1) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x x) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (+.f64 x 1) (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 1) 2)) (-.f64 x (fma.f64 x 2 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x x) 2)) (-.f64 (+.f64 x 1) (+.f64 x x)))
(pow.f64 (fma.f64 x 2 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x 2 1)) (pow.f64 (fma.f64 x 2 1) 2)) (+.f64 (pow.f64 (fma.f64 x 2 1) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x 2 1) x) (-.f64 (pow.f64 (fma.f64 x 2 1) 2) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 x 2 1))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (fma.f64 x 2 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 x 2 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (+.f64 x x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (pow.f64 (exp.f64 x) 2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 1))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 x 2 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (+.f64 x 1))))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x x))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (+.f64 x x))) 1))
(fma.f64 x 1 (fma.f64 x 2 1))
(fma.f64 x 2 (+.f64 x 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x 2 1))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 1 x (fma.f64 x 2 1))
(fma.f64 1 (+.f64 x 1) (+.f64 x x))
(fma.f64 1 (+.f64 x 1) (*.f64 (+.f64 x x) 1))
(fma.f64 1 (fma.f64 x 2 1) x)
(fma.f64 1 (+.f64 x x) (+.f64 x 1))
(fma.f64 (+.f64 x 1) 1 (+.f64 x x))
(fma.f64 (+.f64 x 1) 1 (*.f64 (+.f64 x x) 1))
(fma.f64 (fma.f64 x 2 1) 1 x)
(fma.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) (cbrt.f64 (fma.f64 x 2 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 1))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 x 1))
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 x 2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (fma.f64 x 2 1))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (+.f64 x x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x x) 1))
(fma.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x x) 1))
(fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (+.f64 x x))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (+.f64 x x) 1))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) x)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (+.f64 x x))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 x x) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))) x)
(fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 x 2 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (+.f64 x 1))
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (+.f64 x 1))
(fma.f64 2 x (+.f64 x 1))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 x 2 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 1))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 1 x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 1 x))))
(*.f64 1 (fma.f64 x 2 1))
(*.f64 (fma.f64 x 2 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) (cbrt.f64 (fma.f64 x 2 1)))
(*.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (+.f64 x (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (-.f64 x (+.f64 x 1)))
(pow.f64 (fma.f64 x 2 1) 1)
(pow.f64 (pow.f64 (fma.f64 x 2 1) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 1)) 2)
(pow.f64 (pow.f64 (fma.f64 x 2 1) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) -1)
(pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 1) 2))
(log.f64 (exp.f64 (fma.f64 x 2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x 1))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 1)))
(log1p.f64 (expm1.f64 (fma.f64 x 2 1)))
(exp.f64 (log1p.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x x)) 1))
(fma.f64 x 1 (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x 1))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) 1)
(fma.f64 1 x (+.f64 x 1))
(fma.f64 1 (+.f64 x 1) x)
(fma.f64 1 (+.f64 x x) 1)
(fma.f64 (+.f64 x 1) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 x 1))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) x)
(fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) x)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) x)
(fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) 1)
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) 1)
(fma.f64 2 x 1)
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(*.f64 3 x)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 x) 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 x) 1)
(fma.f64 x 2 1)
(*.f64 2 x)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(*.f64 2 x)
(+.f64 x x)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 0 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x)))) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x)))) (sqrt.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 3 x 1))) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x)))) (sqrt.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 3/2 (fma.f64 3 x 1))) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))) 1)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 3/2 (/.f64 1 (/.f64 (fma.f64 x 2 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 3/2 (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 3/2 (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (*.f64 3/2 (sqrt.f64 x)) (/.f64 1 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 1 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x)) 1)
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (/.f64 1 (fma.f64 x 2 (+.f64 1 x))) (cbrt.f64 (*.f64 3/2 (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 3 x 1)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2) 9/4))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))) (cbrt.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 3 x 1) 2)) 9/4)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2) 9/4))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))) (cbrt.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 3 x 1) 2)) 9/4)))
(*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (/.f64 1 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))) (sqrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) -3/2) (/.f64 1 (neg.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 1 (fma.f64 x 2 (+.f64 x 1))) (*.f64 3/2 (sqrt.f64 x)))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) 1) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (*.f64 (/.f64 1 (fma.f64 x 2 (+.f64 1 x))) (cbrt.f64 (*.f64 3/2 (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x 9/4)) (/.f64 (cbrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 3 x 1)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 3/2 (sqrt.f64 x))) (fma.f64 x 2 (+.f64 x 1))))
(*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (fma.f64 3 x 1)) (sqrt.f64 x))
(*.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 1 x)))))
(/.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 3 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 3 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (/.f64 3/2 (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 1 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 2 (+.f64 1 x)))))
(/.f64 (*.f64 3/2 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 3 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (fma.f64 3 x 1) 2))) (/.f64 3/2 (cbrt.f64 (fma.f64 3 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 x 1))) -2) (/.f64 (*.f64 3/2 (sqrt.f64 x)) (cbrt.f64 (fma.f64 x 2 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 1 x))) -2) (/.f64 3/2 (/.f64 (cbrt.f64 (fma.f64 x 2 (+.f64 1 x))) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) -2) (*.f64 3/2 (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 3 x 1)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) -2) (/.f64 (cbrt.f64 (fma.f64 3 x 1)) (*.f64 3/2 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 9/4)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 2))) (cbrt.f64 (*.f64 (/.f64 3/2 (fma.f64 x 2 (+.f64 x 1))) (sqrt.f64 x))))
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(log.f64 (*.f64 (exp.f64 (fma.f64 x 2 1)) (+.f64 1 (expm1.f64 x))))
(fma.f64 3 x 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 1))) (+.f64 1 (expm1.f64 x))))
(fma.f64 3 x 1)
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x 1))))
(fma.f64 3 x 1)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x 1))))
(fma.f64 3 x 1)
(log.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(fma.f64 3 x 1)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(fma.f64 3 x 1)
(cbrt.f64 (pow.f64 (fma.f64 x 2 (+.f64 x 1)) 3))
(fma.f64 3 x 1)
(expm1.f64 (log1p.f64 (fma.f64 x 2 (+.f64 x 1))))
(fma.f64 3 x 1)
(log1p.f64 (expm1.f64 (fma.f64 x 2 (+.f64 x 1))))
(fma.f64 3 x 1)
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 3 x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (+.f64 x x))) 1))
(exp.f64 (log1p.f64 (+.f64 x (+.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 3 x)))
(fma.f64 x 1 (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 x 2 (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 1 x (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 1 (+.f64 x 1) (+.f64 x x))
(fma.f64 3 x 1)
(fma.f64 1 (+.f64 x 1) (*.f64 (+.f64 x x) 1))
(fma.f64 3 x 1)
(fma.f64 1 (fma.f64 x 2 1) x)
(fma.f64 3 x 1)
(fma.f64 1 (+.f64 x x) (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 (+.f64 x 1) 1 (+.f64 x x))
(fma.f64 3 x 1)
(fma.f64 (+.f64 x 1) 1 (*.f64 (+.f64 x x) 1))
(fma.f64 3 x 1)
(fma.f64 (fma.f64 x 2 1) 1 x)
(fma.f64 3 x 1)
(fma.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) (cbrt.f64 (fma.f64 x 2 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (fma.f64 x 2 1))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x x))
(fma.f64 3 x 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (+.f64 x x) 1))
(fma.f64 3 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (+.f64 x x))
(fma.f64 3 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x x) 1))
(fma.f64 3 x 1)
(fma.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1)) x)
(fma.f64 3 x 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 x x))
(fma.f64 3 x 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x x) 1))
(fma.f64 3 x 1)
(fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (+.f64 x x))
(+.f64 (+.f64 x x) (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (+.f64 x x) 1))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (+.f64 x x))
(+.f64 (+.f64 x x) (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) x)
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2))) x)
(+.f64 x (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x -1 (pow.f64 (+.f64 1 x) 2))))
(+.f64 x (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 2) x)))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (+.f64 x x))
(+.f64 (+.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 x x) 1))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) (+.f64 x x))
(+.f64 (+.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))) x)
(fma.f64 3 x 1)
(fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (fma.f64 x 2 1))
(fma.f64 3 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 2 x (+.f64 x 1))
(fma.f64 3 x 1)
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (fma.f64 x 2 1))
(fma.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (fma.f64 x 2 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 1))) 1)
(fma.f64 x 2 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x (-.f64 1 x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 1 x))))
(fma.f64 x 2 1)
(*.f64 1 (fma.f64 x 2 1))
(fma.f64 x 2 1)
(*.f64 (fma.f64 x 2 1) 1)
(fma.f64 x 2 1)
(*.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)) (cbrt.f64 (fma.f64 x 2 1)))
(*.f64 (cbrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) 2)))
(*.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1)))
(fma.f64 x 2 1)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x -1 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 2) x))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 1 x))))
(fma.f64 x 2 1)
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x -1 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 2) x))
(/.f64 1 (/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))))
(fma.f64 x 2 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x -1 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 2) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 x (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x x (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x)) (+.f64 x (-.f64 1 x)))
(fma.f64 x 2 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x -1 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 2) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 1 x))))
(fma.f64 x 2 1)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (-.f64 x (+.f64 x 1)))
(fma.f64 x 2 1)
(pow.f64 (fma.f64 x 2 1) 1)
(fma.f64 x 2 1)
(pow.f64 (pow.f64 (fma.f64 x 2 1) 2) 1/2)
(fma.f64 x 2 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 3)
(fma.f64 x 2 1)
(pow.f64 (sqrt.f64 (fma.f64 x 2 1)) 2)
(fma.f64 x 2 1)
(pow.f64 (pow.f64 (fma.f64 x 2 1) 3) 1/3)
(fma.f64 x 2 1)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) -1)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 x (-.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x -1 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 2) x))
(pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 x x))) -1)
(fma.f64 x 2 1)
(sqrt.f64 (pow.f64 (fma.f64 x 2 1) 2))
(fma.f64 x 2 1)
(log.f64 (exp.f64 (fma.f64 x 2 1)))
(fma.f64 x 2 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 1))))
(fma.f64 x 2 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x 1))))
(fma.f64 x 2 1)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(fma.f64 x 2 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
(fma.f64 x 2 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 x)))
(fma.f64 x 2 1)
(log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))
(fma.f64 x 2 1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 x))))
(fma.f64 x 2 1)
(cbrt.f64 (pow.f64 (fma.f64 x 2 1) 3))
(fma.f64 x 2 1)
(expm1.f64 (log1p.f64 (fma.f64 x 2 1)))
(fma.f64 x 2 1)
(log1p.f64 (expm1.f64 (fma.f64 x 2 1)))
(fma.f64 x 2 1)
(exp.f64 (log1p.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x x)) 1))
(exp.f64 (log1p.f64 (+.f64 x x)))
(fma.f64 x 1 (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 x 2 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) 1)
(fma.f64 x 2 1)
(fma.f64 1 x (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 1 (+.f64 x 1) x)
(fma.f64 x 2 1)
(fma.f64 1 (+.f64 x x) 1)
(fma.f64 x 2 1)
(fma.f64 (+.f64 x 1) 1 x)
(fma.f64 x 2 1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 x 2 1)
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (+.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)
(fma.f64 x 2 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x)
(fma.f64 x 2 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) x)
(fma.f64 x 2 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) x)
(fma.f64 x 2 1)
(fma.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) x)
(+.f64 x (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) x)
(+.f64 x (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(fma.f64 (pow.f64 (pow.f64 x 1/4) 3) (pow.f64 x 1/4) (+.f64 x 1))
(fma.f64 x 2 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) 1)
(fma.f64 x 2 1)
(fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) 1)
(fma.f64 x 2 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (+.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (+.f64 1 x))

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
✓2.5b
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
3.4b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@inf
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@inf
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)

rewrite68.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
716×fma-def_binary64
411×log-prod_binary64
390×fma-neg_binary64
306×pow-prod-down_binary64
248×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
121625
2329925
Stop Event
1×node limit
Counts
2 → 225
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
Outputs
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simplify111.0ms (2%)

Algorithm
1×egg-herbie
Rules
621×fma-neg_binary64
404×unswap-sqr_binary64
301×associate-/l*_binary64
192×distribute-rgt-neg-in_binary64
191×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04194998
19994883
230394858
Stop Event
1×node limit
Counts
228 → 296
Calls
Call 1
Inputs
1
2
1
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(+.f64 1 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (neg.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 1 x) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 2)) (-.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)))
(/.f64 (-.f64 (+.f64 1 x) (pow.f64 (neg.f64 (sqrt.f64 x)) 2)) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
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(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(*.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1) (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))) (neg.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))) (neg.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3/2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (+.f64 x (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) x) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) 1) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 1) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1) (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (neg.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(fma.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))) 1)
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 1)
(fma.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1 -1)
(fma.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 2) (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 1)
Outputs
1
2
1
(+.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 1 (*.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 -1 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 2 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x) 1)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (expm1.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 2 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
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(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) x) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) x) (+.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) x) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) 1) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (sqrt.f64 x))) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 1) (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (sqrt.f64 x))))
(pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1) (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))) -1)
(/.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (sqrt.f64 x))) 1))
(pow.f64 (/.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (neg.f64 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (*.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3))
(exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2))
(exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/3))
(exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (fma.f64 -1 (sqrt.f64 x) 1))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (fma.f64 -1 (sqrt.f64 x) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 x)) (-.f64 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (fma.f64 -1 (sqrt.f64 x) 1))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (-.f64 (sqrt.f64 x) 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 2 (pow.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))) 1)
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))) 1)
(+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))))
(+.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x) 1))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 2 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(fma.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) 1 -1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(+.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) 2) (cbrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) -1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 x)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) (sqrt.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2)) -1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (expm1.f64 (*.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1/2)) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 1)

eval334.0ms (5.9%)

Compiler

Compiled 14820 to 10333 computations (30.3% saved)

prune168.0ms (3%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New8233826
Fresh426
Picked011
Done3811
Total83014844
Error
0b
Counts
844 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.0b
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
30.0b
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 1))
✓60.1b
(/.f64 2 x)
✓30.4b
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
✓0.1b
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓31.2b
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
✓30.6b
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
31.2b
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
✓30.6b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
✓31.2b
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
30.0b
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x) 1/3)
29.8b
(*.f64 1/2 (pow.f64 x -1/2))
✓60.9b
(*.f64 1/2 x)
31.6b
1
Compiler

Compiled 127 to 100 computations (21.3% saved)

regimes27.0ms (0.5%)

Counts
30 → 1
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x) 1/3)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 1))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 3/2))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (fma.f64 x 3 3/2))
(-.f64 (+.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1)
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)) (sqrt.f64 x)))
(*.f64 3/2 (/.f64 (sqrt.f64 x) (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))))
(*.f64 (/.f64 3/2 (+.f64 (+.f64 x 1) (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 (fma.f64 3/2 (sqrt.f64 x) (*.f64 3/8 (sqrt.f64 (/.f64 1 x)))) (+.f64 (+.f64 (+.f64 x 1) x) (sqrt.f64 (*.f64 (+.f64 x 1) x))))
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Calls

2 calls:

14.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 319 to 216 computations (32.3% saved)

regimes50.0ms (0.9%)

Counts
16 → 2
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x) 1/3)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 1))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 3/2))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(*.f64 1/2 (pow.f64 x -1/2))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Calls

2 calls:

31.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
16.0ms
x
Results
ErrorSegmentsBranch
0.3b2x
0.3b2(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 126 to 86 computations (31.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.3358406906481832e-5
6.506284080387559e-5
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.4%)

Counts
15 → 2
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x) 1/3)
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(+.f64 (-.f64 1 (sqrt.f64 x)) (*.f64 1/2 x))
(-.f64 (*.f64 1/2 x) (-.f64 (sqrt.f64 x) 1))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 x 3))
(/.f64 1 (+.f64 (+.f64 (*.f64 1/2 x) 1) (sqrt.f64 x)))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 1))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (*.f64 3 x) 3/2))
(/.f64 (*.f64 3/2 (sqrt.f64 x)) (+.f64 (+.f64 (+.f64 x 1) x) x))
Outputs
(+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(*.f64 1/2 (pow.f64 x -1/2))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.6b2x
Compiler

Compiled 111 to 76 computations (31.5% saved)

bsearch17.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
17.0ms
0.9081984397122428
59057351.309445724
Results
13.0ms144×body256valid
Compiler

Compiled 165 to 135 computations (18.2% saved)

regimes11.0ms (0.2%)

Counts
6 → 2
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(/.f64 2 x)
(*.f64 1/2 (pow.f64 x -1/2))
(*.f64 1/2 (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 9/4)) x) 1/3)
Outputs
1
(*.f64 1/2 (pow.f64 x -1/2))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.8b2x
Compiler

Compiled 29 to 22 computations (24.1% saved)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
14.0ms
5.015603817770569e-5
0.9081984397122428
Results
12.0ms128×body256valid
Compiler

Compiled 92 to 81 computations (12% saved)

regimes4.0ms (0.1%)

Accuracy

Total -29.3b remaining (-92.5%)

Threshold costs -29.3b (-92.5%)

Counts
3 → 1
Calls
Call 1
Inputs
1
(*.f64 1/2 x)
(/.f64 2 x)
Outputs
1
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
31.6b1x
Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
3×*-commutative_binary64
3×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02788
13888
24388
34588
44688
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 5902958103587057/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 x 1) (+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1/4) 1 (*.f64 1/2 (pow.f64 x -1/2)))
1
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 5902958103587057/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 5902958103587057/147573952589676412928) (*.f64 1/2 (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 x 1) (+.f64 1 (-.f64 (*.f64 1/2 x) (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1) (+.f64 1 (-.f64 (*.f64 x 1/2) (sqrt.f64 x))) (*.f64 1/2 (pow.f64 x -1/2)))
(if (<=.f64 x 1/4) 1 (*.f64 1/2 (pow.f64 x -1/2)))
1
Compiler

Compiled 64 to 50 computations (21.9% saved)

soundness107.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
871×fma-neg_binary64
758×times-frac_binary64
653×fma-def_binary64
394×div-sub_binary64
168×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0154967
1366879
21296779
35152763
Stop Event
1×node limit
Compiler

Compiled 338 to 225 computations (33.4% saved)

end59.0ms (1%)

Compiler

Compiled 60 to 44 computations (26.7% saved)

Profiling

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